Open AccessPractical Planar Metric Rectification
Author(s) -
Antonio Ruiz,
Pedro E. López-de-Teruel,
L. Fernandez-Maimo
Publication year - 2006
Publication title -
citeseer x (the pennsylvania state university)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.5244/c.20.60
Subject(s) - orthogonality , rectification , metric (unit) , noise (video) , computer science , image rectification , computer vision , planar , artificial intelligence , image (mathematics) , process (computing) , degrees of freedom (physics and chemistry) , simple (philosophy) , image plane , plane (geometry) , algorithm , computer graphics (images) , mathematics , physics , engineering , geometry , operations management , power (physics) , epistemology , philosophy , quantum mechanics , operating system
We propose a simple method for computing a metric rectification of a plane from multiple views taken by Ki = diag( fi, fi, 1) cameras. The orthogonality properties of this camera model are exploited from an early stage to achieve a straightforward optimization process with only two degrees of freedom, even if the fi in all views are unknown. We study the optimization landscapes for several typical camera motions and varying amounts of image noise. We conclude that the problem is extremely ill conditioned and can only be realistically solved for rich camera motions and small amounts of image noise, preferably with at least one fi known in the sequence.
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